volume_mute

A x B

publish date: 2022/08/24 08:32:00 GMT+10

volume_mute

Let A = {1, 2, 3} and B = {2, 4}, then A x B =

{(2,1), (4,1), (2,2), (4,2), (2,3), (4,3)}
{(2,1), (4,1), (2,2), (4,2), (2,3)}
{(1,2), (1,4), (2,2), (2,4), (3,2), (3,4)}
{(1,2), (1,4), (2,2), (2,4), (3,2)}

Correct Answer

{(1,2), (1,4), (2,2), (2,4), (3,2), (3,4)}

Explanation

Correct ordered pairs are

{(1,2), (1,4), (2,2), (2,4), (3,2), (3,4)}

This set represents B x A

{(2,1), (4,1), (2,2), (4,2), (2,3), (4,3)}

These two sets are basically not valid since the total number of ordered pairs must be (2 x 3 = 6)
{(2,1), (4,1), (2,2), (4,2), (2,3)}
{(1,2), (1,4), (2,2), (2,4), (3,2)}

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012,go-math-science.com

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